Answer
718.25 pi or 2,256.4489
Step-by-step explanation:
The volume formula for cylinders is V=pi * r^2 * h
So plug in your numbers!
r=6.5 h=17
pi times 6.5^2 times 17 = pi*718.25 or 2,256.4
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answer:
a) $92.75, b) $371Step-by-step explanation:
Let the cost be A.
a) Cost to run ad for one week:
A = 35 + 5.25 (15 - 4) = 35 + 5.25*11 = 92.75b) Cost to run ad for four weeks:
4A = 4*92.75 = 371Answer:
See below ↓↓
Step-by-step explanation:
Cost to run one week
$35 [first 4 lines] + $5.25 x 11 [15 - 4 = 11 remaining lines]$35 + $57.75$92.75Cost to run four weeks
Cost of one week x 4$92.75 x 4$368 + $3$371Select the correct answer.
A rubber gasket has a circumference of 3.2 cm. When placed in service, it expands by a scale factor of 2. What is the circumference of the gasket when in service?
A.
1.6 cm
B.
3.2 cm
C.
6.4 cm
D.
13.2 cm
The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.
A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.
The circumference is defined as the boundary length of any circular shape.
Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm
Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.
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2. Find the surface area of the regular pyramid shown to the nearest whole
number.
Answer:
208m^2
Step-by-step explanation:
area of hexagon = 93.53 using its equation
area of single triangle = 0.5(6*6)
area of all triangles = 6(0.5(6*6))
total area = 207.53
NWN = 208
Use the student's work to complete the problem. What
is the product of 3/9 and 2/5
Answer:
2/15
Step-by-step explanation:
3/9*2/5=
1/3*2/5=
2/15
translate the triangle 3 to the right and 2 down
Answer:
Step-by-step explanation:
There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.
The perimeter of arectangular poultry farm is 38 meter . if 3 meter subtracted from its length and 2 meter from its breadth , the length will be two times the breadth .find the area of the farm
Answer:
82 2/9 square meters
Step-by-step explanation:
The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.
P = 2(L +W) . . . . . . formula for the perimeter of a rectangle
38 = 2(L +W) . . . . . the perimeter is 38 meters
(L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.
__
Dividing the first equation by 2 gives ...
19 = L +W
Solving this for L gives ...
L = 19 -W
Substituting for L in the second equation, we have ...
(19 -W) -3 = 2(W -2)
16 -W = 2W -4 . . . . . . . simplify
20 = 3W . . . . . . . . . . . add W+4
W = 20/3 . . . . . . . . . divide by 3
L = 19 -20/3 = 37/3 . . . . find L from W
__
The area of the farm is the product of length and width:
A = LW = (37/3 m)(20/3 m) = 740/9 m²
A = 82 2/9 m²
The area of the farm is 82 2/9 square meters.
Given sinx=0.3, what is cosx? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.
The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95
What is the value of cosx?It is given that
The value of Sinx=0.3
Now we know that
[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]
Hence the value of Cosx=[tex]\pm[/tex]0.95
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B3: Jill filled up her car with 15 gallons of gas for $43.35. Bill filled up his car with 22 gallons of gas for $61.82. Who got the better deal on gas?
Answer:
Bill go the better deal
Step-by-step explanation:
43.35/15=2.89
61.82/32=2.81
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is y= x/2+6 linear or non-linear
1-4
Stan volunteered to work overtime for 6 weeks. He worked an
average
of 47 hours per week. Use the equation h = 6 = 47 to find
the total number of hours Stan worked over the 6 weeks.
Answer:
282 Hours after 6 weeks
Step-by-step explanation:
Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!
on a number line show all the values of X that have an absolute value less than three
Answer:
x can equal 2, 1, 0, -1, -2. A line graph is shown below.
Step-by-step explanation:
The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do : 2, 1, 0, -1, -2.
x can equal 2, 1, 0, -1, -2.
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Answer:
B
Step-by-step explanation:
Add the value of the dots
0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8
find the volume and the surface area of the shape
Answer: 192 is the volume of the shape
Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192
using the similar triangles below, solve for x !
Answer:
Step-by-step explanation:
Remarks.
This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.
63/(8x - 2) = 49 /42
Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions
Proportion
63/(8x - 2) = 49 /42
Solution
63/(8x - 2) = 49 /42 Cross Multiply
(8x - 2)*49 = 63 * 42 Combine the right.
(8x - 2)*49 = 2646 Divide by 49
8x - 2 = 54 Add 2 to both sides
8x -2+2=54+2 Combine
8x = 56 Divide by 8
8x/8 = 56/8
Answer: x = 7
Each side of a square barn is 9 meters long. What is the barn's area?
What is the barn's perimeter?
Answer:
Perimeter = 36 meters.
Area = 81 meters.
Step-by-step explanation:
To find the perimeter of a square you have to add all sides.
To find its area you have to multiply the base by the height of a square.
Please someone help i dont understand
ill upload the rest in a second
4.72x 10 to the 10th power in standard form
Answer:
47,200,000,000
Step-by-step explanation:
[tex]4.72*10^{10}[/tex] is in scientific form (notation).
To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.
Answer:
Step-by-step explanation:
Complete part (a) and part (b) given the following system of equations.
x-y=1
x + 3y =9
Write your answer.
Answer:
(3,2)
Step-by-step explanation:
Setting up equation so we can use substitution method
x - y = 1 , x + 3y = 9
step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.
x = y + 1 , x + 3y = 9
now we can plug in ( or substitute hence substitution method ) the first equation into the second
Solving for y using the substitution method
x + 3y = 9
plug in x = y + 1
y + 1 + 3y = 9
combine like terms
4y + 1 = 9
subtract 1 from both sides
4y = 8
divide both sides by 4
y = 2
Now to find the value of x we plug in the value of y into one of the equations and solve for x.
Solving for x
x - y = 1
y = 2
x - 2 = 1
add 2 to both sides
x = 3
The solution would be (3,2)
Answer:
x = 3 and y = 2 or (3,2) in coordinate form
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Solve by elimination of x-terms by multiplying either one of equations with -1:
For this, I choose to multiply -1 in first equation:
[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]
Then add both equations:
[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]
Divide both sides:
[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]
Next, substitute y = 2 in one of equations to solve for x:
For this, I choose to substitute y = 2 in the first equation:
[tex]\displaystyle \large{x-y=1}[/tex]
Substitute y = 2 in:
[tex]\displaystyle \large{x-2=1}[/tex]
Add both sides by 2:
[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]
Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)
__________________________________________________________
First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Write the system of equations in matrices form:
[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]
From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:
[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]
Find [tex]\displaystyle \large{\det A}[/tex]:
[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]
Therefore:
[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]
Therefore, the solution is x = 3 and y = 2
If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answer: B
Step-by-step explanation:
Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 =
Answer:
37
Step-by-step explanation:
it just it
Use the defined sets to answer the questions. assuming 0 is an even integer, which set is the complement to set b? which set is an empty set? which set would contain the subset e = {1, 3, 5, 7}?
The universal set contains all possible elements in the set
The complement of set B is the set D.The empty set is the set CThe set D contains the subset E = {1, 3, 5, 7}The complement of set BThe sets are given as:
A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer}Where the universal set is:
U = {all integers}
The set B is the set of all even integers.
So, its complement would be the set of all odd integers i.e. set D
Hence, the complement of set B is the set D.
The empty setFrom the set definition, we have:
C = {x | x ∈ U and 2x is an odd integer}
This means that the set C contains elements 2x, where 2x is an odd number.
The element x is an integer, and twice an integer (i.e. 2x) is an even number.
This means that 2x cannot be an odd number;
Hence, the empty set is the set C;
The set that contains the subset E = {1, 3, 5, 7}The subset E = {1, 3, 5, 7} contains odd integers.
From the set definition, set D represents the set of odd integers
Hence, the set D contains the subset E = {1, 3, 5, 7}
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Answer:
D,C,D
Step-by-step explanation:
On edge 2023
Explain how you could calculate the surface area of a square pyramid
There are two different ways to find surface area of square pyramid
1st
If you are given the slant height and the side length[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]
a = side lengthl = slant height2nd
If you are given the height and the side length[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]
a = side lengthh = heightAnswer:
sample response
Step-by-step explanation: :)
You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.
for f(x)=4x+2, what value of x makes f(x)=-14
Hey there,
f(x) = 4x + 2
what value of x makes f(x) = -14?
Answer :x = -4 ✅
Explanations:f(x) = 4x + 2
>> We want f(x) to be equal to -14:
4x + 2 = -14
>> Substract 2 from both sides :
4x + 2 - 2 = -14 - 2
4x = -16
>> Divide both sides by 4:
4x/4 = -16/4
x = -4
✅
Have a good day ;)
Answer:
x = -4
Step-by-step explanation:
Given:
f(x) = 4x + 2If the value of f(x) is -14,
⇒ 4x + 2 = -14 [f(x) = 4x - 2 and -14]
To simplify the equation, we need to isolate the variable completely. Start out by subtracting 2 both sides. This will isolate "x" and the cooeficient of x.
⇒ 4x = -14 - 2⇒ 4x = -16Then, divide 4 both sides to isolate the cooeficient of x on one side and a constant on the other side. The constant will be the value of x.
⇒ 4x/4 = -16/4⇒ x = -4Thus, -4 is the value of x that makes f(x) equivalent to -14
0.6 greater than 0.59?
Answer:
Yes, 0.6 is greater than 0.59.
Step-by-step explanation:
The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.
What is the value of tan 0 in the circle below
Answer:
tan theta = root3/3
see image
Step-by-step explanation:
The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.
pls help me
What is the volume of the figure?
Answer:
V = 76 ft³
Step-by-step explanation:
We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.
V of a rectangular prism = length*hight* width
V = V (big rectangular prism) + V (small rectangular prism)
V = (8·4·2) +(3·2·2)
V = 64 + 12
V = 76 ft³
if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins
Answer:
418122 seconds
Step-by-step explanation:
First divide 400,500 by 50. That is 8010.
Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR
6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days
If x =2/5, y=-4/3, z=8/9, then verify that : x+(y+z) = (x+y) + z
according to distributive property
x+(y+z) = (x+y) + z
hope it helps...!!!
Provide the missing reasons for the proof.
Given: (AB) || (RS)
Prove: QA/QR= QB/QS
Answer:
Step-by-step explanation:
1) Given
2) <Q is congruent to <Q by reflexive prop of congruence
3) <QBA is congruent to <QSR by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR by AA theorem
5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)
